Semi-bounded Differential Operators, Contractive Semigroups and Beyond by Alberto CialdeaSemi-bounded Differential Operators, Contractive Semigroups and Beyond by Alberto Cialdea

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

byAlberto Cialdea, Vladimir Maz'ya

Hardcover | August 1, 2014

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?In the present book the conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways. Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although their complete characterization in analytic terms causes difficulties even for rather simple operators. Until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. The goal of the present book is to partially fill this gap. Various types of semi-boundedness are considered and some relevant conditions which are either necessary and sufficient or best possible in a certain sense are given. Most of the results reported in this book are due to the authors.
Title:Semi-bounded Differential Operators, Contractive Semigroups and BeyondFormat:HardcoverDimensions:252 pagesPublished:August 1, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319045571

ISBN - 13:9783319045573


Table of Contents

?Introduction.- 1 Preliminary facts on semi-boundedness of forms and operators.- 2 Lp-dissipativity of scalar second order operators with complex coefficients.- 3 Elasticity system.- 4 Lp-dissipativity for systems of partial differential operators.- 5 The angle of Lp-dissipativity.- 6 Higher order differential operators in Lp.- 7 Weighted positivity and other related results.- References.

Editorial Reviews

"The book is logically ordered and clearly written . . It will be of interest to specialists and graduate students working on partial differential operators in function spaces." (Hector O. Fattorini, zbMATH 1317.47002, 2015)